Editing BB84 Quantum Key Distribution (section)

==Further Information==
# [https://core.ac.uk/download/pdf/82447194.pdf BB(1984)] introduces the BB84 protocol, as the name says, by Charles Bennett and Gilles Brassard.
# [https://quantum-journal.org/papers/q-2017-07-14-14/ TL(2017)] The derivation of the key length in [[BB84 Quantum Key Distribution#Properties|Properties]], combines the techniques developed in this article and minimum leakage error correcting codes.
# [https://tspace.library.utoronto.ca/bitstream/1807/10010/1/Lo_6438_2610.pdf GL03] gives an extended analysis of the BB84 in the finite regime.
# Sifting: the BB84 protocol can also be described in a symmetric way. This means that the inputs <math>0</math> and <math>1</math> are chosen with the same probability. In that case only <math>1/2</math> of the generated bits are discarded during the sifting process. Indeed, in the symmetric protocol, Alice and Bob measure in the same basis in about half of the rounds. 
# [https://dl.acm.org/citation.cfm?id=1058094 LCA05] the asymmetric protocol was introduced to make this more efficient protocol presented in this article.
# A post-processing of the key using 2-way classical communication, denoted [[Advantage distillation]], can increase the QBER tolerance  up to <math>18.9\%</math> (3).
# We remark that in [[BB84 Quantum Key Distribution#Pseudo Code|Pseudo Code]], the QBER in the <math>Z</math> basis is not estimated during the protocol. Instead Alice and Bob make use of a previous estimate for the value of <math>Q_Z</math> and the error correction step, Step 4 in the pseudo-code, will make sure that this estimation is correct. Indeed, if the real QBER is higher than the estimated value <math>Q_Z</math>, [[BB84 Quantum Key Distribution#Pseudo Code|Pseudo Code]] will abort in the Step 4 with very high probability.
# The BB84 can be equivalently implemented by distributing [[EPR pairs]] and Alice and Bob making measurements in the <math>Z</math> and <math>X</math> basis, however this required a [[entanglement distribution]] network stage.
#[https://doi.org/10.1007/3-540-48285-7_35 Secret-Key Reconciliation by Public Discussion]
#[https://arxiv.org/abs/quant-ph/0512258 Security of Quantum Key Distribution]

<div style='text-align: right;'>''contributed by Bas Dirke, Victoria Lipinska, Gláucia Murta and Jérémy Ribeiro''</div>